雅可比椭圆函数 meaning in English
jacobi elliptic function
jacobian elliptic function
Examples
- We call above two mechanization algorithm as jacobian function expension method . the jacobian function expension method is an effective method than the sine - consine method and the sn - cn method
称之为雅可比椭圆函数扩展法，它是一种比sine - cosine方法和sn - cn函数法，双曲函数法更有效和简单的方法。 - Finally we apply jacobian function expension method to a class of nonlinear evolution equations , rlw and a compound kdv equations and get many new jacobian function solutions and solitary wave solutions
我们分别把它应用于一类非线性演化方程， rlw和组合kdv方程上去，获得了许多雅可比椭圆函数解和其它精确解。 - By using the modified mapping method and the extended mapping method , we derive some new exact solutions of the higher order nonlinear schr ? dinger equation , which are the linear combination of two different jacobi elliptic functions
摘要通过修正的映射方法和推广的映射方法，我们得到了高阶非线性薛定谔方程新的精确解，它们是两个不同的雅可比椭圆函数的线性组合。 - In this letter , we introduce the rule of the linear and non - linear movement of the single pendulum , and by using the jacobian elliptic function , we educe two categories of movement fuctions of the single pendulum , the results will be some referential improtance in studying the non - linear vibrational systems
摘要介绍了单摆的线性与非线性运动规律，并利用雅可比椭圆函数法导出了单摆作两种运动的方程，对研究非线性振动的系统有一定参考价值。 - The second part , with the aid of many types constructive transformation and symbolic computation ( especially wu algebraic elemination method ) , some topics in nonlinear evolution equation are studied , including exact solution ( solitary solution , periodic solution , rational function solutions and jacobian function solution ) , backlund transformation , cole - hopf transformation , dromion solution and its construction etc . charter 2 introduces ac = bd model and its application about partial differential equations
第二部分以构造性的变换及符号计算特别是(吴代数消元法)为工具，来研究非线性演化方程中的一些问题：精确解(如孤子解、周期解、有理解和雅可比椭圆函数解(双周期解)等) 、 backlund变换、 hopf变换， dromion解及衰变结构等第二章介绍了求解pdes的ac = bd模式及其在偏微分方程中的作用。